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Explosive Bubble Modelling by Noncausal Process

Christian Gourieroux and Jean-Michel Zakoian

No 2013-04, Working Papers from Center for Research in Economics and Statistics

Abstract: The linear mixed causal and noncausal autoregressive processes provide often a better fit to economic and financial time series than the standard causal linear autoregressive processes. By considering the example of the noncausal Cauchy autoregressive process, we show that it might be explained by the special associated nonlinear causal dynamics. Indeed, this causal dynamics can include unit root, bubble phenomena, or asymmetric cycles often observed on financial markets. The noncausal Cauchy autoregressive process provides a new modelling for explosive multiple bubbles and their transmission in a multivariate dynamic framework. We also explain why standard unit root tests will fail in detecting such explosive bubbles

Keywords: Causal Innovation; Explosive Bubble; Noncausal Process; Unit Root; Bubble Cointegration (search for similar items in EconPapers)
Pages: 48
Date: 2013-02
New Economics Papers: this item is included in nep-cwa, nep-ecm and nep-ets
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Citations: View citations in EconPapers (11)

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